Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 762098147] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2251 geometric_solution 5.68106397 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509815253383 0.274656959430 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969927593760 0.544363664973 1 4 3 5 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952496070527 0.871075369943 5 2 4 1 1023 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952496070527 0.871075369943 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371721095034 0.873818526949 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852331727391 0.599433791876 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.635403915534 0.434425594488 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 13694/81*c_0101_6^11 - 81500/81*c_0101_6^9 + 406871/81*c_0101_6^7 - 1431850/81*c_0101_6^5 + 957694/81*c_0101_6^3 - 282457/81*c_0101_6, c_0011_0 - 1, c_0011_1 - 1/81*c_0101_6^10 + 4/81*c_0101_6^8 - 22/81*c_0101_6^6 + 62/81*c_0101_6^4 + 49/81*c_0101_6^2 + 41/81, c_0011_3 - 1/27*c_0101_6^8 + 5/27*c_0101_6^6 - c_0101_6^4 + 89/27*c_0101_6^2 - 13/27, c_0101_0 - 7/27*c_0101_6^11 + 41/27*c_0101_6^9 - 68/9*c_0101_6^7 + 713/27*c_0101_6^5 - 418/27*c_0101_6^3 + 34/9*c_0101_6, c_0101_1 + 1/27*c_0101_6^10 - 5/27*c_0101_6^8 + 8/9*c_0101_6^6 - 80/27*c_0101_6^4 - 23/27*c_0101_6^2 + 2/9, c_0101_3 - 1/81*c_0101_6^11 + 4/81*c_0101_6^9 - 22/81*c_0101_6^7 + 62/81*c_0101_6^5 + 49/81*c_0101_6^3 + 122/81*c_0101_6, c_0101_6^12 - 6*c_0101_6^10 + 30*c_0101_6^8 - 106*c_0101_6^6 + 75*c_0101_6^4 - 24*c_0101_6^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 250*c_0101_6^15 + 3297/2*c_0101_6^13 - 5831*c_0101_6^11 + 24269/2*c_0101_6^9 - 32159/2*c_0101_6^7 + 11983*c_0101_6^5 - 9295/2*c_0101_6^3 + 1241/2*c_0101_6, c_0011_0 - 1, c_0011_1 + 3*c_0101_6^14 - 20*c_0101_6^12 + 71*c_0101_6^10 - 148*c_0101_6^8 + 195*c_0101_6^6 - 143*c_0101_6^4 + 52*c_0101_6^2 - 7, c_0011_3 + 4*c_0101_6^14 - 26*c_0101_6^12 + 91*c_0101_6^10 - 187*c_0101_6^8 + 245*c_0101_6^6 - 180*c_0101_6^4 + 71*c_0101_6^2 - 11, c_0101_0 + 2*c_0101_6^15 - 12*c_0101_6^13 + 39*c_0101_6^11 - 71*c_0101_6^9 + 77*c_0101_6^7 - 33*c_0101_6^5 - 2*c_0101_6^3 + 4*c_0101_6, c_0101_1 - c_0101_6^14 + 6*c_0101_6^12 - 20*c_0101_6^10 + 38*c_0101_6^8 - 46*c_0101_6^6 + 29*c_0101_6^4 - 12*c_0101_6^2 + 3, c_0101_3 - 7*c_0101_6^15 + 46*c_0101_6^13 - 162*c_0101_6^11 + 335*c_0101_6^9 - 440*c_0101_6^7 + 323*c_0101_6^5 - 123*c_0101_6^3 + 18*c_0101_6, c_0101_6^16 - 7*c_0101_6^14 + 26*c_0101_6^12 - 58*c_0101_6^10 + 84*c_0101_6^8 - 74*c_0101_6^6 + 38*c_0101_6^4 - 10*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB